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Finding the Fourth Proportional to 395,122.61, 545,269.89 and 213,834.69

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Solution

The fourth proportional to 395,122.61, 545,269.89 and 213,834.69 is: 295,092.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,122.61 : 545,269.89 = 213,834.69 : x
  2. Step 2: Convert to fraction form
    395,122.61/545,269.89 = 213,834.69/x
  3. Step 3: Cross multiply
    395,122.61x = 545,269.89 × 213,834.69
  4. Step 4: Simplify right side
    395,122.61x = 116,597,617,894.48
  5. Step 5: Solve for x
    x = 116,597,617,894.48/395,122.61
  6. Step 6: Final answer
    x = 295,092.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.